Numerical Solution of Retarded Initial Value Problems: Local and Global Error and Stepsize Control.
Numerical solution of second order one-dimensional linear hyperbolic equation using trigonometric wavelets
A numerical technique is presented for the solution of second order one dimensional linear hyperbolic equation. This method uses the trigonometric wavelets. The method consists of expanding the required approximate solution as the elements of trigonometric wavelets. Using the operational matrix of derivative, we reduce the problem to a set of algebraic linear equations. Some numerical example is included to demonstrate the validity and applicability of the technique. The method produces very accurate...
Numerical solution of second-order elliptic equations on plane domains
Numerical solution of several models of internal transonic flow
The paper deals with numerical solution of internal flow problems. It mentions a long tradition of mathematical modeling of internal flow, especially transonic flow at our department. Several models of flow based on potential equation, Euler equations, Navier-Stokes and Reynolds averaged Navier-Stokes equations with proper closure are considered. Some mathematical and numerical properties of the model are mentioned and numerical results achieved by in-house developed methods are presented.
Numerical solution of soap film dual problems.
Numerical solution of some classes of complementarity and variational problems via dualization
Numerical solution of some iterative differential equation
Numerical Solution of Steady-State Porous Flow Free Boundary Problems.
Numerical solution of Stokes problem for free convection effects in dissipative dusty medium.
Numerical solution of the Kiessl model
The Kiessl model of moisture and heat transfer in generally nonhomogeneous porous materials is analyzed. A weak formulation of the problem of propagation of the state parameters of this model, which are so-called moisture potential and temperature, is derived. An application of the method of discretization in time leads to a system of boundary-value problems for coupled pairs of nonlinear second order ODE’s. Some existence and regularity results for these problems are proved and an efficient numerical...
Numerical solution of the Maxwell equations in time-varying media using Magnus expansion
For the Maxwell equations in time-dependent media only finite difference schemes with time-dependent conductivity are known. In this paper we present a numerical scheme based on the Magnus expansion and operator splitting that can handle time-dependent permeability and permittivity too. We demonstrate our results with numerical tests.
Numerical Solution of the Obstacle Problem by the Penalty Method. Part II. Time-Dependent Problem.
Numerical Solution of the second Boundary value Problem in space
Numerical solution of the second kind singular Volterra integral equations by modified Navot-Simpson's quadrature.
Numerical Solution of Volterra Integral Equation.
Numerical Solution of Volterra Integral Equations.
Numerical solutions for a model of tissue invasion and migration of tumour cells.
Numerical solutions for second-kind Volterra integral equations by Galerkin methods
In this paper, we study the global convergence for the numerical solutions of nonlinear Volterra integral equations of the second kind by means of Galerkin finite element methods. Global superconvergence properties are discussed by iterated finite element methods and interpolated finite element methods. Local superconvergence and iterative correction schemes are also considered by iterated finite element methods. We improve the corresponding results obtained by collocation methods in the recent...
Numerical Solutions for some Coupled Systems of Nonlinear Boundary Value Problems.
Numerical solutions of cascade flows by finite element method [Abstract of thesis]